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The constant speed random walk on dynamical conductances

  • Eszter Couillard
  • Carlo Scali
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Abstract

In this paper we study the constant speed, biased random walk in dynamical random conductances. In certain regimes of the parameters of the model, we prove that the random walk is ballistic. We show annealed and quenched CLT in the full parameter range. Furthermore, as a consequence of the non-reversible nature of this model, we show that the classical Einstein relation does not hold.

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Cite

BibTeXRIS
BibTeX
@misc{couillard2026constant,
  title = {{The constant speed random walk on dynamical conductances}},
  author = {Eszter Couillard and Carlo Scali},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.04598},
  eprint = {2610.04598},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.04598},
}
RIS
TY  - UNPB
TI  - The constant speed random walk on dynamical conductances
AU  - Eszter Couillard
AU  - Carlo Scali
PY  - 2026
DA  - 2026/10/03
PB  - arXiv
DO  - 10.48550/arxiv.2610.04598
UR  - https://arxiv.org/abs/2610.04598
AB  - In this paper we study the constant speed, biased random walk in dynamical random conductances. In certain regimes of the parameters of the model, we prove that the random walk is ballistic. We show annealed and quenched CLT in the full parameter range. Furthermore, as a consequence of the non-reversible nature of this model, we show that the classical Einstein relation does not hold.
ER  -